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Determine the values for a and b

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Reference no: EM132518758

A continuous random variable takes values between 0 and 10 with a cumulative distribution function given by

FX(x) = x2/200 + Ax + B

where A and B are two unknown constants.

(a) Using your knowledge about the boundaries of cdf's, determine the values for A and B.

(b) Compute the mean of the random variable, E[X].

(c) If you know that X is less than 5, what is the probability that it is less than 2?

Reference no: EM132518758

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